Most adverbs are formed by adding -ly to an adjective (e.g. slow ⇒ slowly).
BUT most adjectives ending in y change the y to i and add ly (e.g. easy ⇒ easily)
Exceptions to this are when the y has the /ɑı/ sound, not the /Iː/ sound: shy ⇒ shyly, sly ⇒ slyly
As Stuart Cook says, lately means recently.
Also the adverb for hard is usually hard (e.g. He hit it hard)
Hardly is used to mean unkindly or harshly – (e.g. He treated her hardly)
but more usually to mean very scarce – (e.g. There’s hardly any sugar left)
or almost not – (e.g I can hardly see it.)